{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "5039c0ff",
   "metadata": {},
   "source": [
    "# **<font size=4 color=#BB3D00 face=微软雅黑>从信号中去除 60 Hz 杂声</font>**"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "c5ab8cf0",
   "metadata": {},
   "source": [
    "美国和其他几个国家/地区的交流电以 60 Hz 的频率振荡。这些振荡通常会破坏测量结果，必须将其减去。在存在 60 Hz 电力线噪声的情况下，研究模拟仪器的输入的开环电压。电压采样频率为 1 kHz。 "
   ]
  },
  {
   "cell_type": "markdown",
   "id": "07488406",
   "metadata": {},
   "source": [
    "## <font size=3  face=微软雅黑>**※Matlab案例**</font>"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "c76441b2",
   "metadata": {},
   "source": [
    "网址：https://ww2.mathworks.cn/help/signal/ug/remove-the-60-hz-hum-from-a-signal.html    \n",
    "描述：本案例由1个示例构成\n",
    "### - <font color=DarkOrChid size=3>示例1：从信号中去除60Hz的电力线杂声</font>"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "c414022d",
   "metadata": {},
   "source": [
    "## <font size=3 face=微软雅黑>**※Python案例**</font> "
   ]
  },
  {
   "cell_type": "markdown",
   "id": "34ab5abd",
   "metadata": {},
   "source": [
    "针对以上案例，采用Python语言实现。"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "3ccf7e3b",
   "metadata": {},
   "source": [
    "### - <font color=DarkOrChid size=3>示例1：从信号中去除60Hz的电力线杂声</font>"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "5341d7ba",
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(0.0, 2.0)"
      ]
     },
     "execution_count": 1,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "import numpy as np\n",
    "from scipy.io import loadmat\n",
    "import matplotlib.pyplot as plt\n",
    "\n",
    "openLoop = loadmat('openloop60hertz.mat')\n",
    "Fs = 1000\n",
    "t = np.arange(len(openLoop['openLoopVoltage']))/Fs\n",
    "fig,ax = plt.subplots()\n",
    "ax.plot(t,openLoop['openLoopVoltage'],linewidth=0.6)\n",
    "ax.set_ylabel('Voltage (V)')\n",
    "ax.set_xlabel('Time (s)')\n",
    "ax.set_title('Open-Loop Voltage with 60 Hz Noise')\n",
    "ax.grid()\n",
    "ax.set_ylim(-9,-7.2);ax.set_xlim(0,2)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "3ad0475f",
   "metadata": {},
   "source": [
    "使用**Butterworth**陷波滤波器消除 60 Hz 噪声。使用**designfilt**设计该滤波器。陷波的宽度定义为 59 至 61 Hz 的频率区间。滤波器至少去除该范围内频率分量的一半功率。"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "ba12f6f9",
   "metadata": {},
   "source": [
    "绘制滤波器的频率响应。请注意，此陷波滤波器提供高达30 dB的衰减。"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "c8305605",
   "metadata": {
    "scrolled": false
   },
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "from scipy import signal\n",
    "b,a = (signal.iirfilter(N=5,Wn=[59,61],btype='bandstop',\n",
    "                        analog=False,ftype='butter',fs=Fs))\n",
    "freq,h = signal.freqz(b,a,fs=Fs)\n",
    "fig,ax = plt.subplots()\n",
    "ax.plot(freq,20*np.log10(np.abs(h)))\n",
    "ax.set_ylabel('Magnitude (dB)')\n",
    "ax.set_xlabel('Frequency (Hz)')\n",
    "ax.set_title('Magnitude Response (dB)')\n",
    "ax.set_xticks(np.arange(0,501,50))\n",
    "ax.grid()\n",
    "ax.autoscale(enable=True,axis='x',tight=True)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "122dfe6f",
   "metadata": {},
   "source": [
    "使用**filtfilt**对信号进行滤波，来补偿滤波延迟。注意振荡是如何显著减少的。"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "a261a95a",
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "buttLoop = signal.filtfilt(b,a,openLoop['openLoopVoltage'].flatten())\n",
    "fig,ax = plt.subplots()\n",
    "ax.plot(t,openLoop['openLoopVoltage'],linewidth=0.6,label='Unfiltered')\n",
    "ax.plot(t,buttLoop,linewidth=0.6,label='Filtered')\n",
    "ax.set_ylabel('Voltage (V)')\n",
    "ax.set_xlabel('Time (s)')\n",
    "ax.set_title('Open-Loop Voltage')\n",
    "ax.legend();ax.grid()\n",
    "ax.autoscale(enable=True,axis='x',tight=True)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "23382fb0",
   "metadata": {},
   "source": [
    "使用周期图查看 60 Hz 处的“尖峰”是否已消除。"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "f1117248",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fopen,Popen = (signal.periodogram(openLoop['openLoopVoltage'].flatten(),\n",
    "                                  fs=Fs,nfft=2048))\n",
    "fbutt,Pbutt = signal.periodogram(buttLoop,fs=Fs,nfft=2048)\n",
    "fig,ax = plt.subplots()\n",
    "ax.plot(fopen,20*np.log10(np.abs(Popen)),linewidth=0.6,label='Unfiltered')\n",
    "ax.plot(fbutt,20*np.log10(np.abs(Pbutt)),linewidth=0.6,label='Filtered')\n",
    "ax.set_ylabel('Power/frequency (dB/Hz)')\n",
    "ax.set_xlabel('Frequency (Hz)')\n",
    "ax.set_title('Power Spectrum')\n",
    "ax.set_ylim(-160,60)\n",
    "ax.set_xticks(np.arange(0,501,50))\n",
    "ax.legend();ax.grid()\n",
    "ax.autoscale(enable=True,axis='x',tight=True)"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.9.12"
  },
  "toc": {
   "base_numbering": 1,
   "nav_menu": {},
   "number_sections": true,
   "sideBar": true,
   "skip_h1_title": false,
   "title_cell": "Table of Contents",
   "title_sidebar": "Contents",
   "toc_cell": false,
   "toc_position": {},
   "toc_section_display": true,
   "toc_window_display": false
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}
